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What is the Least Common Multiple of 511 and 521?

Least common multiple or lowest common denominator (lcd) can be calculated in two way; with the LCM formula calculation of greatest common factor (GCF), or multiplying the prime factors with the highest exponent factor.

Least common multiple (LCM) of 511 and 521 is 266231.

LCM(511,521) = 266231

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Least Common Multiple of 511 and 521 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 511 and 521, than apply into the LCM equation.

GCF(511,521) = 1
LCM(511,521) = ( 511 × 521) / 1
LCM(511,521) = 266231 / 1
LCM(511,521) = 266231

Least Common Multiple (LCM) of 511 and 521 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 511 and 521. First we will calculate the prime factors of 511 and 521.

Prime Factorization of 511

Prime factors of 511 are 7, 73. Prime factorization of 511 in exponential form is:

511 = 71 × 731

Prime Factorization of 521

Prime factors of 521 are 521. Prime factorization of 521 in exponential form is:

521 = 5211

Now multiplying the highest exponent prime factors to calculate the LCM of 511 and 521.

LCM(511,521) = 71 × 731 × 5211
LCM(511,521) = 266231